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UkoKoshka [18]
1 year ago
8

Margo borrows $2000, agreeing to pay it back with 8% annual interest after 6 months. How much interest will she pay?Round your a

nswer to the nearest cent, if necessary.
Mathematics
1 answer:
Amiraneli [1.4K]1 year ago
6 0

Principal of the loan = $ 2,000

Interest rate = 8% annually or 0.08

Period of the loan = 6 months or 1/2 year

For calculating the interest that Margo will pay, we use the simple interest formula, this way:

Interest = Principal * interest rate * period of the loan

Replacing with the values we know:

Interest = 2,000 * 0.08 * 0.5

Interest = $ 80

Interpretation

Margo will pay $ 80 of interest for the loan after 6 months

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A quadratic equation is shown below:
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Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

3x^{2}-11x+10=0 has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

\frac{d}{dx}(3x^{2}-11x+10)=6x-11

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}

6 0
3 years ago
Solution set of 3x - ( 2x + 8 )= -6
Hunter-Best [27]
3x - (2x + 8) = -6
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3 years ago
List all sets that -1/3 belongs to.
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dfffffffff

Step-by-step explanation:

xcdsw23456iu76

5 0
2 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
Ludmilka [50]

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must <em>always be greater</em> than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!

6 0
2 years ago
Read 2 more answers
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